1028810918160 has 200 divisors, whose sum is σ = 3593871060120. Its totient is φ = 272763445248.

The previous prime is 1028810918147. The next prime is 1028810918203. The reversal of 1028810918160 is 618190188201.

It can be written as a sum of positive squares in 4 ways, for example, as 135921992976 + 892888925184 = 368676^2 + 944928^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 662176 + ... + 1579904.

Almost surely, 2^{1028810918160} is an apocalyptic number.

1028810918160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028810918160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796935530060).

1028810918160 is an abundant number, since it is smaller than the sum of its proper divisors (2565060141960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1028810918160 is a wasteful number, since it uses less digits than its factorization.

1028810918160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917927 (or 917912 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 45.

The spelling of 1028810918160 in words is "one trillion, twenty-eight billion, eight hundred ten million, nine hundred eighteen thousand, one hundred sixty".